Formality Theory From Poisson Structures to Deformation Quantization /

• Main Author: Esposito, Chiara (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2015.
• Series: SpringerBriefs in Mathematical Physics, 2
• Subjects: Physics.; Functional analysis.; Mathematical physics.; Quantum field theory.; String theory.; Quantum Field Theories, String Theory.; Mathematical Physics.; Functional Analysis.

This book is a survey of the theory of formal deformation quantization of Poisson manifolds, in the formalism developed by Kontsevich. It is intended as an educational introduction for mathematical physicists who are dealing with the subject for the first time. The main topics covered are the theory...

Table of Contents:

• Introduction
• Classical mechanics and Poisson structures
• Deformation quantization and formality theory
• Kontsevich’s Formula and Globalization
• Appendix
• Vector bundles
• Cohomology
• Index.